US7710437B2 - Color interpolation algorithm - Google Patents
Color interpolation algorithm Download PDFInfo
- Publication number
- US7710437B2 US7710437B2 US11/317,765 US31776505A US7710437B2 US 7710437 B2 US7710437 B2 US 7710437B2 US 31776505 A US31776505 A US 31776505A US 7710437 B2 US7710437 B2 US 7710437B2
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- United States
- Prior art keywords
- color
- pixels
- pixel
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
- G06T3/00—Geometric image transformations in the plane of the image
- G06T3/40—Scaling of whole images or parts thereof, e.g. expanding or contracting
- G06T3/4015—Image demosaicing, e.g. colour filter arrays [CFA] or Bayer patterns
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N9/00—Details of colour television systems
- H04N9/64—Circuits for processing colour signals
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N23/00—Cameras or camera modules comprising electronic image sensors; Control thereof
- H04N23/80—Camera processing pipelines; Components thereof
- H04N23/84—Camera processing pipelines; Components thereof for processing colour signals
- H04N23/843—Demosaicing, e.g. interpolating colour pixel values
-
- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
- H04N25/00—Circuitry of solid-state image sensors [SSIS]; Control thereof
- H04N25/10—Circuitry of solid-state image sensors [SSIS]; Control thereof for transforming different wavelengths into image signals
- H04N25/11—Arrangement of colour filter arrays [CFA]; Filter mosaics
- H04N25/13—Arrangement of colour filter arrays [CFA]; Filter mosaics characterised by the spectral characteristics of the filter elements
- H04N25/134—Arrangement of colour filter arrays [CFA]; Filter mosaics characterised by the spectral characteristics of the filter elements based on three different wavelength filter elements
Definitions
- the present invention relates to color interpolation, and more particularly, to color interpolation in a Bayer pattern color filter.
- a digital photographing device such as a digital camera or digital camcorder uses a charge coupled device (CCD) that uses various information for each pixel in order to obtain a full-color image. At least three types of color data are required in order to display an image viewable by human eye.
- a full-color image can be rendered based on pixel values for three independent colors, R, G, and B.
- the CCD is a photographing device for converting an optical signal into an electric signal.
- CCD may be a single chip type or a multi-chip type.
- a multi-chip type each pixel receives three colors by using three chips having sensors reactive to three colors (R, G, and B) respectively.
- each pixel receives only one color, and a color filter array (CFA) having sensors reactive to each color.
- the most general pattern of the CFA is a Bayer pattern.
- each color for constituting one screen has information for the entire screen. Accordingly, it is possible to re-construct the entire screen by using the colors.
- each pixel is provided with a different sensor for receiving a different color, even if sensors for receiving three colors are positioned on one chip. Accordingly, each pixel has only one color information among three colors.
- green is rendered by using information received by a green detecting sensor of an adjacent pixel. That is, a color interpolation algorithm for rendering the green color is used.
- the related art color interpolation method in the single-chip type Bayer pattern color filter comprises a bi-linear interpolation method, a color shift interpolation method, and an adaptive interpolation method using a gradient of a brightness.
- Each interpolation method is explained below.
- FIG. 1A is a view showing a 5 ⁇ 5 Bayer pattern in a bi-linear interpolation method.
- color information of the most adjacent four pixels (G 3 , G 7 , G 9 , and G 13 ) is used in order to restore a G value (for example G 8 ), and an average of the adjacent four pixels (G 3 , G 7 , G 9 and G 13 ) is used as shown in the following formula 1.
- G 8 G 3 + G 7 + G 9 + G 13 4 [ Formula ⁇ ⁇ 1 ]
- FIG. 1B is a view showing a 5 ⁇ 5 Bayer pattern in a color shift interpolation method.
- the color shift interpolation method is for obtaining all the adjacent G values by using the bi-linear method and then obtaining an R 8 by using a previously-obtained G 8 based on an R-value known by a sensor.
- R 8 G 8 ⁇ R 2 G 2 + R 4 G 4 + R 12 G 12 + R 14 G 14 4 [ Formula ⁇ ⁇ 2 ]
- FIGS. 2A and 2B are views showing a Bayer pattern in an adaptive interpolation method using a gradient of a brightness.
- ⁇ denotes vertical edge information
- ⁇ denotes horizontal edge information.
- the following formula 3 is used to obtain the vertical edge information ⁇ and the horizontal edge information ⁇ .
- ⁇ abs [( B 42 +B 46 )/2 ⁇ B 44 ]
- ⁇ abs [( B 24 +B 64 )/2 ⁇ B 44 ]
- the vertical edge information a and the horizontal edge information ⁇ are obtained, it can be determined if a color shift is less in a horizontal axis direction or in a vertical axis direction. If ⁇ is less than ⁇ , the color shift in the horizontal axis direction is less than the color shift in the vertical axis direction. On the other hand, if ⁇ is greater than ⁇ , an average value between G 34 and G 54 is determined as G 44 . Also, if the ⁇ is equal to the ⁇ , an average value among the adjacent values, G 34 , G 43 , G 45 , and G 54 is determined as G 44 (Refer to formula 4).
- FIG. 3 is a view showing a Bayer pattern in an adaptive interpolation method using a gradient of a brightness.
- G diff — ver of FIG. 3 denotes a difference between right and left values of a pixel to be restored (for example G 44 ), and
- G diff — hor denotes a difference between upper and lower values of the pixel to be restored (for example G 44 ).
- the obtained horizontal and vertical values (G diff — ver , G diff — hor ) are compared with arbitrarily set thresholds to determine a G value by using the following formulas.
- (G diff — hor >threshold)AND(G diff — ver >threshold) ⁇ G 44 ( G 34 +G 45 +G 54 +G 43 )/4 1.
- the interpolation method can be largely divided into a bi-linear interpolation method, a color correction interpolation method, and an interpolation method using a spatial correlation.
- the bi-linear interpolation method requires less calculation and is simple to implement. However, the method causes a zipper effect and a blurring phenomenon.
- the color correction method comprises a color shift interpolation method, and an implementation method using a gradient of a brightness.
- the color correction method maintains a soft color by using a color difference and a color ratio.
- the color correction implementation method is provided at a camera due to a simple implementation and a constant color.
- the interpolation method using a spatial correlation produces the best quality image by using a color difference and a shift ratio.
- the method's implementation is complicated and requires heavy calculations.
- the method uses only upper/lower components and right/left components, a blurring phenomenon may result when a biased line or an edge exists in an actual image.
- an interpolation method comprises calculating a similarity among a plurality of pixels of a first color positioned adjacent to a first pixel to be restored; calculating an average value associated with the first color of at least two pixels from among said plurality of pixels, the at least two pixels having a first level of similarity; restoring a first color value associated with the first color for the first pixel; and restoring values associated with a second color and a third color for the first pixel based on an interpolation using a brightness gradient.
- calculating the similarity comprises regularizing first color values of the plurality of pixels adjacent to the first pixel. In another embodiment, calculating the similarity comprises obtaining a similarity among pixels of the first color adjacent to the first pixel. Calculating the average value may comprise multiplying an arithmetic average value of at least two pixels having the first level similarity by the similarity value between said at least two pixels.
- the plurality of pixels are arranged according to a Bayer pattern.
- the first pixel may be either a blue or a red pixel.
- the first color may be green; the second color red; and the third color blue, for example.
- the first level of similarity is the highest level of similarity.
- a method for interpolating pixel colors comprises obtaining at least two pixels of a first color having a first level of similarity, wherein the at least two pixels are positioned adjacent a first pixel to be restored; calculating average values of the two pixels for the first color and thereby restoring the value of the at least two pixels for the first color.
- a value associated with a second color for the at least two pixels is restored by an interpolation method using a gradient of a brightness.
- a value associated with a third color for the at least two pixels may be obtained by an interpolation method using a gradient of a brightness.
- FIG. 1A illustrates a 5 ⁇ 5 Bayer pattern in a bi-linear interpolation method.
- FIG. 1B illustrates a 5 ⁇ 5 Bayer pattern in a color shift interpolation method.
- FIGS. 2A and 2B illustrate a Bayer pattern in an interpolation method by a gradient.
- FIG. 3 illustrates a Bayer pattern in an adaptive interpolation method using a gradient of a brightness.
- FIG. 4 illustrates a Bayer pattern in a color interpolation method according to one embodiment of the invention.
- FIG. 5 illustrates a method for restoring a green color according to one embodiment of the invention.
- FIG. 6 illustrates a method for restoring a red color or a blue color according to one embodiment of the invention.
- a pixel B 44 is a blue pixel having no green information and red information.
- G values of adjacent pixels G 34 , G 43 , G 45 , and G 54 of the B 44 are measured and regularized and a similarity among the adjacent pixels G 34 , G 43 , G 45 , and G 54 is calculated.
- the similarity is defined by determining how much color information of pixels is similar to each other, and is calculated by the following formula 7, for example.
- a ⁇ b 1 2 ⁇ [ min ⁇ ⁇ ( a -> b , b -> a ) + min ⁇ ⁇ ( a _ -> b _ , b _ -> a _ ) ] [ Formula ⁇ ⁇ 7 ]
- ⁇ provides a multi-valued implication and is defined by various methods.
- a Lukasiewicz implication method is used.
- the Lukasiewicz implication method is defined by the following formula 8.
- the similarity between two pixels a and b (a ⁇ b) can be determined. Since the values of a and b are in a range of ‘0 ⁇ 1’ in the formula 7, values of R, G, and B for one or more adjacent pixels are regularized to be in a range of ‘0 ⁇ 1’ (S 10 ). For a pixel defined as R ij , the R ij is regularized by the following formula 9.
- the i and j are integers associated with each index, and the bits define in which bits a photographing device displays value of each pixel.
- a similarity between pixels is obtained by the formula 7 (S 20 ).
- the following formula 10 is used in one embodiment to calculate the similarity between G 34 and G 43 .
- Small letter g ij is a value obtained by regularizing the G ij .
- G 34 ⁇ ⁇ G 43 ⁇ 1 2 ⁇ [ min ⁇ ⁇ ( g 34 -> g 43 , g 43 -> g 34 ) + min ⁇ ⁇ ( g _ 34 -> g _ 43 , g _ 43 -> g _ 34 ) ] [ Formula ⁇ ⁇ 10 ]
- g 34 -> g 43 ⁇ 1 if ⁇ ⁇ g 34 ⁇ g 43 1 - g 34 + g 43 otherwize [ Formula ⁇ ⁇ 11 ]
- Each similarity among the four upper, lower, right, and left pixels adjacent to the pixel to be restored (for example B 44 ) is obtained by using formulas 7 and 8 (S 30 ). Accordingly pixels having the highest similarity are obtained (S 40 ).
- G 34 ⁇ G 43 , G 43 ⁇ G 45 , G 45 ⁇ G 54 , G 54 ⁇ G 34 , G 34 ⁇ G 45 G 43 ⁇ G 54 are respectively obtained.
- the highest similarity may be obtained by the following formula 12. Max[G 34 ⁇ G 43 ,G 43 ⁇ G 45 ,G 45 ⁇ G 54 ,G 54 ⁇ G 34 ,G 34 ⁇ G 45 ,G 43 ⁇ G 54 ] Formula 12
- the two pixels have a higher possibility to be consistent with a G value of the pixel to be restored (B 44 ).
- the two pixels may not be highly similar.
- the similarity of the two pixels (e.g., G 34 and G 43 ) having the highest similarity G 43 ⁇ G 54 ) is multiplied to an arithmetic average (1 ⁇ 2 (G 34 +G 43 )) of the two pixels.
- the higher the similarity between the two pixels the nearer the G value (G 44 ) of the pixel to be restored is to the two pixels.
- the lower the similarity between the two pixels the farther the G value (G 44 ) of the pixel to be restored is from the two pixels.
- Formula 13 is used to obtain the G value G 44 of the B 44 in case that the G 34 and G 43 have the highest similarity among the adjacent pixels.
- G 44 1 2 ⁇ ( G 34 ⁇ G 43 ) ⁇ ( G 34 + G 43 ) [ Formula ⁇ ⁇ 13 ]
- FIG. 6 illustrates a method for restoring a red color or a blue color according to one embodiment of the invention.
- the green values G of the blue pixels Bij and the red pixels Rij are restored as provided above (S 110 ).
- R values and B values that have not been restored are calculated in the same manner as the interpolation method by a gradient (S 120 ).
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- Multimedia (AREA)
- Signal Processing (AREA)
- Physics & Mathematics (AREA)
- Spectroscopy & Molecular Physics (AREA)
- General Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Color Television Image Signal Generators (AREA)
- Image Processing (AREA)
- Color Image Communication Systems (AREA)
Abstract
Description
α=abs[(B 42 +B 46)/2−B 44]
β=abs[(B 24 +B 64)/2−B 44] [Formula 3]
G diff
G diff
(Gdiff
→G 44=(G 34 +G 45 +G 54 +G 43)/4 1.
(Gdiff
→G 44=(G 34 +G 45 +G 54 +G 43)/4 2.
(Gdiff
→G 44=(G 43 +G 45)/2 3.
(G diff
→G 44=(G 34 +G 54)/2 4.
Max[G34≡G43,G43≡G45,G45≡G54,G54≡G34,G34≡G45,G43≡G54] Formula 12
Claims (17)
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KR1020040116951A KR100721338B1 (en) | 2004-12-30 | 2004-12-30 | Color Interpolation of Digital Imaging Devices |
KR10-2004-0116951 | 2004-12-30 | ||
KR116951/2004 | 2004-12-30 |
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US20060146150A1 US20060146150A1 (en) | 2006-07-06 |
US7710437B2 true US7710437B2 (en) | 2010-05-04 |
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US (1) | US7710437B2 (en) |
EP (1) | EP1677548A3 (en) |
JP (1) | JP4253655B2 (en) |
KR (1) | KR100721338B1 (en) |
CN (1) | CN100521800C (en) |
Cited By (4)
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US20080199105A1 (en) * | 2005-06-01 | 2008-08-21 | Michael James Knee | Method and Apparatus for Spatial Interpolation of Colour Images |
US20090115870A1 (en) * | 2006-06-29 | 2009-05-07 | Olympus Corporation | Image processing apparatus, computer-readable recording medium recording image processing program, and image processing method |
US9511708B2 (en) | 2012-08-16 | 2016-12-06 | Gentex Corporation | Method and system for imaging an external scene by employing a custom image sensor |
US10148926B2 (en) | 2015-12-07 | 2018-12-04 | Samsung Electronics Co., Ltd. | Imaging apparatus and image processing method of thereof |
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KR100818447B1 (en) * | 2006-09-22 | 2008-04-01 | 삼성전기주식회사 | Color interpolation method of image detected using color filter |
US8077234B2 (en) * | 2007-07-27 | 2011-12-13 | Kabushiki Kaisha Toshiba | Image pickup device and method for processing an interpolated color signal |
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JP2009290607A (en) * | 2008-05-29 | 2009-12-10 | Hoya Corp | Imaging apparatus |
KR101515957B1 (en) | 2008-09-08 | 2015-05-04 | 삼성전자주식회사 | Color interpolation device and color interpolation method |
CN101621698B (en) * | 2009-03-10 | 2013-08-07 | 北京中星微电子有限公司 | Method and device for processing color image |
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US20110141321A1 (en) * | 2009-12-16 | 2011-06-16 | General Instrument Corporation | Method and apparatus for transforming a lens-distorted image to a perspective image in bayer space |
US8260044B2 (en) | 2010-07-07 | 2012-09-04 | DigitalOptics Corporation Europe Limited | Reducing erroneous colors in edge areas with chromatic abberation |
CN102665030B (en) * | 2012-05-14 | 2014-11-12 | 浙江大学 | Improved bilinear Bayer format color interpolation method |
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Also Published As
Publication number | Publication date |
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CN100521800C (en) | 2009-07-29 |
EP1677548A3 (en) | 2008-09-10 |
US20060146150A1 (en) | 2006-07-06 |
JP4253655B2 (en) | 2009-04-15 |
EP1677548A2 (en) | 2006-07-05 |
KR100721338B1 (en) | 2007-05-28 |
CN1812595A (en) | 2006-08-02 |
KR20060078646A (en) | 2006-07-05 |
JP2006191607A (en) | 2006-07-20 |
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